Abstract
Plug-in hybrid electric vehicles (PHEVs) have been the center of attention in recent years as they can be utilized to set up a bidirectional connection to a power grid for ancillary services procurement. By incorporating Vehicle to Grid (V2G), this paper proposes a real-time solution to a non-convex constrained unit commitment (UC) optimization problem considering V2G parking lots as dispersed generation units. V2G parking lots can be considered as virtual power plants that my decrease dependency to small expensive units in a UC problem. In this paper, firstly a probabilistic attendance model of PHEVs in a parking lot is investigated, while expected number of PHEVs as well as the equivalent generation capacity of the parking lot is obtained using a radial basis neural network. Secondly, a particular UC problem considering V2G parking lot is solved using GA-ANN as a hybrid heuristic method. A real-time estimation of PHEVs number in the V2G parking lot and real-time solution to UC–V2G problem associated with load variation makes this work distinguished, while the proposed method is applied to a standard IEEE 10-unit test system with promising results.
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Abbreviations
- \(i\) :
-
Unit \(i\)
- \(j\) :
-
jth prohibited operating zone
- \(P_{i,t}\) :
-
Power output of unit \(i\) at hour \(t\)
- \(u_{i,t}\) :
-
On or off status of unit \(i\) at hour \(t\)
- \(\text{ SUC}_{i,t}\) :
-
Start-up cost of unit \(i\) at time \(t\)
- \(\text{ SDC}_{i,t}\) :
-
Shut-down cost of unit \(i\) at time \(t\)
- \(N\) :
-
Number of units
- \(T\) :
-
Unit commitment horizon
- \(C_\mathrm{V2G}\) :
-
Battery capacity of each BV
- \(B_\mathrm{V2G}\) :
-
Number of BVs incorporated in the V2G aggregation at time \(t\)
- \(a_i, b_i, c_i\) :
-
Fuel cost coefficients for unit \(i\)
- \(\text{ HSC}_i\) :
-
Hot start-up cost
- \(\text{ CSC}_i\) :
-
Cold start-up cost
- \(T_{i,t}^D\) :
-
Minimum down-time of unit \(i\)
- \(\text{ MD}_i^\mathrm{ON}\) :
-
Duration during which the \(i\)th unit is continuously on
- \(\text{ CST}_i\) :
-
Cold start time of unit \(i\)
- \(D_t\) :
-
Demand during hour \(t\)
- \(L_t\) :
-
System losses at hour \(t\)
- \(P_{i,t}^\mathrm{min}\) :
-
Minimum generation of unit \(i\)
- \(P_{i,t}^\mathrm{max}\) :
-
Maximum generation of unit \(i\)
- \(R_t\) :
-
Spinning reserve requirement at time \(t\)
- \(\text{ RUR}_i\) :
-
Ramp up rate limit of unit \(i\)
- \(\text{ RDR}_i\) :
-
Ramp down rate limit of unit \(i\)
- \(P_{i,\,j}^\mathrm{Lower}\) :
-
Lower bound of the \(j\)th prohibited zone of unit \(i\)
- \(P_{i,\,j}^\mathrm{Upper}\) :
-
Upper bound of the \(j\)th prohibited zone of unit \(i\)
- \(\text{ PZ}_i\) :
-
Number of prohibited zones of unit \(i\)
- \(\text{ MD}_i^\mathrm{ON}\) :
-
Duration during which the \(i\)th unit is continuously on
- \(\text{ MD}_i^\mathrm{OFF}\) :
-
Duration during which the \(i\)th unit is continuously off
- \(A\) :
-
The big positive number (assumed 1e+4)
- chr:
-
Chromosomes counter
- itr:
-
Iteration counter
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Bioki, M.M.H., Jahromi, M.Z. & Rashidinejad, M. A combinatorial artificial intelligence real-time solution to the unit commitment problem incorporating V2G. Electr Eng 95, 341–355 (2013). https://doi.org/10.1007/s00202-012-0263-5
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DOI: https://doi.org/10.1007/s00202-012-0263-5